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Linear Algebra Explains Why Some Words Are Effectively Untranslatable

8 days ago
  • #translation
  • #language
  • #linear algebra
  • The author argues that some words are effectively untranslatable by drawing a parallel between language translation and linear algebra's change of basis.
  • Vectors in linear algebra are abstract objects that require a basis for representation, similar to how concepts in language require a linguistic framework (language) for expression.
  • Just as changing the basis in linear algebra changes the coordinates of a vector without altering the underlying object, translating a concept into another language changes its expression without altering the underlying idea.
  • The article highlights that 'untranslatable' words exist because certain concepts compactly expressed in one language may require lengthy explanations in another, losing nuance and precision.
  • Practical untranslatability arises from communication constraints (time, space) and the finite, 'quantized' nature of language, which limits the precision with which nuances can be conveyed.
  • The author suggests that, like in Principal Component Analysis (PCA), translators often simplify concepts to their most essential components, sacrificing finer details for practicality.
  • Despite these challenges, skilled translators can 'write between the lines,' using context and structure to convey meanings that aren't directly translatable word-for-word.